Analytical and Numerical Study of Deck-Stay Interaction in a Cable-Stayed Bridge in the Context of Field Observations
Publication: Journal of Engineering Mechanics
Volume 139, Issue 11
Abstract
This paper addresses the mechanism of coupled deck-stay motions in cable-stayed bridges. Field observations of deck-stay interactions are summarized and an analytical model is developed to simulate such interactions. Using this model, a dynamic analysis of an example stay is conducted to illustrate the mechanism underlying the coupled motions. Three-dimensional finite-element models of a cable-stayed bridge are presented to confirm that coupling of deck-stay motions can occur in actual structures. A comparison between the results from the analytical and numerical models indicates that the proposed analytical model can reasonably explain the observed deck-stay interactions. In particular, it is shown that coupled motions are associated with the veering of natural frequency loci and mode localization and that the distributions of generalized masses between decks and cables are useful indexes for assessing the degree of coupling.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This material is based upon work supported by the National Science Foundation (NSF) under Grant No. 0305903 and the Texas DOT (TxDOT), Austin, Texas. Support from the NSF and TxDOT is gratefully acknowledged. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the NSF or TxDOT.
References
Abdel-Ghaffar, A. M., and Khalifa, M. A. (1991). “Importance of cable vibration in dynamics of cable-stayed bridges.” J. Eng. Mech., 117(11), 2571–2589.
Caetano, E., Cunha, A., Gattulli, V., and Lepidi, M. (2008). “Cable-deck dynamic interactions at the International Guadiana Bridge: On-site measurements and finite element modelling.” Struct. Control Health Monit., 15(3), 237–264.
Caetano, E., Cunha, A., and Taylor, C. A. (2000a). “Investigation of dynamic cable-deck interaction in a physical model of a cable-stayed bridge. Part I: Modal analysis.” Earthquake Eng. Struct. Dyn., 29(4), 481–498.
Caetano, E., Cunha, A., and Taylor, C. A. (2000b). “Investigation of dynamic cable-deck interaction in a physical model of a cable-stayed bridge. Part II: Seismic response.” Earthquake Eng. Struct. Dyn., 29(4), 499–521.
Computers and Structures, Inc. (CSI). (2008). CSI analysis reference manual for SAP2000, ETABS, and SAFE, CSI, Berkeley, CA.
Fujino, Y., Warnitchai, P., and Pacheco, B. M. (1993). “An experimental and analytical study of autoparametric resonance in a 3DOF model of cable-stayed-beam.” Nonlinear Dyn., 4(2), 111–138.
Gattulli, V., and Lepidi, M. (2003). “Nonlinear interactions in the planar dynamics of cable-stayed beam.” Int. J. Solids Struct., 40(18), 4729–4748.
Gattulli, V., and Lepidi, M. (2007). “Localization and veering in the dynamics of cable-stayed bridges.” Comput. Struct., 85(21-22), 1661–1678.
Gattulli, V., Morandini, M., and Paolone, A. (2002). “A parametric analytical model for non-linear dynamics in cable-stayed beam.” Earthquake Eng. Struct. Dyn., 31(6), 1281–1300.
Gimsing, N. J. (1997). Cable supported bridges: Concept and design, 2nd Ed., Wiley, Chichester, U.K.
Irvine, H. M. (1981). Cable structures, Massachusetts Institute of Technology, Cambridge, MA.
Liu, M. Y., Zuo, D., and Jones, N. P. (2005). “Deck-induced stay cable vibrations: Field observations and analytical model.” Proc., 6th Int. Symp. on Cable Dynamics, DYWIDAG-Systems International (DSI), Luxembourg, 175–182.
Mashnad, M. (2006). “Modeling vortex-induced vibration of long-span bridges.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Univ. of Illinois at Urbana-Champaign, Urbana, IL.
Ozkan, E. (2003). “Evaluation of response prediction methodology for long-span bridges using full-scale measurements.” Ph.D. dissertation, Dept. of Civil Engineering, Johns Hopkins Univ., Baltimore.
Perkins, N. C. (1992). “Modal interactions in the non-linear response of elastic cables under parametric/external excitation.” Int. J. Non-linear Mech., 27(2), 233–250.
Pinto da Costa, A., Martins, J. A. C., Branco, F., and Lilien, J. L. (1996). “Oscillations of bridge stay cables induced by periodic motions of deck and/or towers.” J. Eng. Mech., 122(7), 613–622.
Simiu, E., and Scanlan, R. H. (1996). Wind effects on structures: Fundamentals and applications to design, 3rd Ed., Wiley, New York.
Walther, R., Houriet, B., Isler, W., Moïa, P., and Klein, J. F. (1999). Cable stayed bridges, 2nd Ed., Thomas Telford, London.
Warnitchai, P., Fujino, Y., and Susumpow, T. (1995). “A non-linear dynamic model for cables and its application to a cable-structure system.” J. Sound Vib., 187(4), 695–712.
Zuo, D., and Jones, N. P. (2010). “Interpretation of field observations of wind- and rain-wind-induced stay cable vibrations.” J. Wind Eng. Ind. Aerodyn., 98(2), 73–87.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 139 • Issue 11 • November 2013
Pages: 1636 - 1652
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Apr 14, 2011
Accepted: Jan 29, 2013
Published online: Jan 31, 2013
Published in print: Nov 1, 2013
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.